The supernorm induces a natural isomorphism between partitions and prime factorizations that can be observed immediately from the dual lattices in Figure REF . Following Andrews (see [1]}, Ch. 8), for a partition \(\lambda \)  written in the classical “multiplicity superscript” notation
\(\lambda = \left<1^{m_1}, 2^{m_2}, 3^{m_3},\dots , i^{m_i},\dots \right>\) 
